Ph.D.'s in Number Theory at the University of Michigan
The following is a list of the Ph.D. degrees awarded in number theory,
including the dissertation title, the thesis advisor, and (when known) the first postPh.D. place of employment.
2018
Corey Everlove
(Lagarias) University of Michigan
Brandon Carter
Jochnowitz congruences at residual primes
(Prasanna) Google
Charlotte Chan
Period identities of CM forms on quaternion algebras
(Prasanna) Princeton University
2017
Daniel Barter
Some remarks about the interaction between quantum algebra and representation stability
(Snowden) Australian National University
Gene Kopp
Indefinite theta functions and zeta functions
(Lagarias) University of Bristol
2016
Adam Kaye
Arithmetic of the Asai Lfunction for Hilbert modular forms
(Prasanna) Goldman Sachs
Suchandan Pal
An explicit Jacquet–Langlands correspondence
(Prasanna) Mavenir
2015
Ariel Shnidman
Heights of generalized Heegner cycles
(Prasanna) Boston College
2014
Harry Altman
Integer complexity, addition chains, and wellordering
(Lagarias)
Sijun Liu
Functional equations involving Laurent polynomials and meromorphic functions,
with applications to dynamics and Diophantine equations
(Zieve) Oracle
Hieu Ngo
Generalizations of the Lerch zeta functions
(Lagarias) Texas A&M University at Qatar
2013
Hunter Brooks
Generalized Heegner cycles, Shimura curves, and special values of padic Lfunctions
(Prasanna) EPFL  Switzerland
Alex Mueller
Applications of generalized Fermat varieties to zeta functions of ArtinSchreier curves
(Zieve) Less Annoying CRM
Julian Rosen
The arithmetic of multiple harmonic sums
(Lagarias) Waterloo
Zach Scherr
Rational polynomial Pell equations
(Zieve) Penn
2011
Ben Weiss
Diophantine equations with two separated variables
(Lagarias/Zieve) Technion
2010
Johnson Jia
The arithmetic of the Yoshida lift (Skinner/DeBacker) University of British Columbia
Brian Wyman
Polynomial decomposition over rings (Zieve) PNYLAB LLC
2009
Jonathan Bober
Integer ratios of factorials, hypergeometric series, and related step functions
(Lagarias) Institute for Advanced Study
Ellen Eischen
padic differential operators on automorphic forms and applications
(Skinner/Ramsey) Northwestern University
Leo Goldmakher
Multiplicative mimicry and improvements of the PolyaVinogradov theorem
(Soundararajan/Lagarias) University of Toronto
Hester Graves
On Euclidean ideal classes
(Ramsey) Queen's University
Wansu Kim
Galois deformation theory for norm fields and its arithmetic applications
(Conrad/DeBacker) Imperial College
2008
Craig Spencer
Analytic methods for Diophantine problems
(Wooley/Lewis) Institute for Advanced Study
2007
Mahesh Agarwal
pAdic Lfunctions for GSp(4) x GL(2)
(Skinner) McMaster University
Bryden Cais
Compatabilities, correspondences, and integral structure in padic cohomology
(Conrad) McGill University
Rizwanur
Khan
Nonvanishing of the symmetric square Lfunction
(Soundararajan) UCLA
Matthew
Smith
On solutionfree sets for simultaneous additive equations
(Wooley) University of Georgia
2006
Trevor Arnold
Anticyclotomic Iwasawa Theory for Modular Forms
(Skinner) University of Washington
Krzysztof Klosin
Congruences among automorphic forms on the unitary group U(2,2)
(Skinner) University of Utah
2005
Peng Gao
nlevel densities of zeros
of quadratic Dirichlet
Lfunctions
(Montgomery/Soundararajan) AIM/Montreal
Sreekar
Shastry
J_1(n) has connected fibers
(Conrad) Tata Institute (Bombay)
2004
Tobias Berger
Eisenstein ideal for imaginary
quadratic fields
(Skinner) Cambridge University
Jim Brown
SatoKurokawa lifts and
Lvalues
(Skinner) Ohio State University
Tong Liu
Potentially good reduction
of BarsottiTate groups
(Conrad) University of Pennsylvania
2003
Mihran Papikian
Optimal elliptic curves
and degree conjecture over
function fields
(Conrad) Stanford University
2002
Tsz Ho Chan
Pair correlation and distribution
of prime numbers
(Montgomery) Case Western Reserve University
2000
Michael Knapp
Forms in many variables
over padic fields
(Wooley) University of Rochester
Joseph Palen
Bounds for class members of cyclotomic function fields (Lewis)
1999 Eric Freeman
Quadratic and cubic diophantine inequalities (Wooley)
Scott Parsell
Exponential sums and diophantine problems (Wooley)
Victor Scharaschkin
Localglobal problems and the BrauerManin obstruction (Milne)
1998 Matt DeLong
Relating elliptic curves to threeranks of quadratic number fields (Milne)
Pierre Giguere
On the conjecture of Langlands and Rapoport (Milne)
Tony Vazzana
4ranks of K_2 of rings of integers in quadratic number fields (Milne)
Joel Wisdom
On the representations of numbers as sums of powers (Wooley)
1997 Greg Martin
The distribution of prime primitive roots and dense Egyptian fractions (Montgomery/Wooley)
1996 Stefan Treatman
Euclidean systems (Milne)
1995 Morley Davidson
Waring's problem in number fields (Wooley)
1994 Mary Armon
Sums of quadratic characters (Montgomery)
1993 Matthias Pfau
The reduction of connected Shimura varieties at primes of good reduction (Milne)
David Santos
Sets of monotonicity for the Riemann zetafunctions (Montgomery)
Wafa Wei
Weil numbers and generating large field extensions (Milne)
1992 Kent Boklan
The asymptotic formula in Waring's problem (Montgomery)
Hemar Godinho
A pair of additive quartic forms (Lewis)
1990 John Rickert
Simultaneous rational approximations and related Diophantine equations (Masser)
1989 Daniel Kornhauser
Bounds for the smallest integer solution of general quadratic equations (Masser)
Jungseob Lee
On the constant in the TuranKubilius inequality (Montgomery)
Thomas Martin
Minimal theta functions (Montgomery)
Noel Wass
Algebraic independance of the values at algebraic points of a class of functions considered by Mahler (Masser)
1987 David Folk
On the genus of normal closures of rational function field extensions (Lewis)
Fred Schultheis
Explicit reciprocity laws in algebraic function fields (Lewis/P.Blass)
1986 Capi CorralesRodriganez
Nevanlinna theory in the padic plane (Lewis)
1985 Jerome Solinas
A theorem of metric Diophantine approximation and estimates for sums involving binary digits (Montgomery)
1984 Todd Cochrane
Small solutions of congruences (Lewis)
1983 Russell Lyons
A characterization of measures whose FourierStiltjes transforms vanish at infinity (Montgomery/Shields)
1982 William Hawkins, Jr.
The etale cohomology of certain ptorsion sheaves (Milne)
Ali Özlük
Pair correlation of zeros of Dirichlet Lfunctions (Montgomery)
1980 Brian Conrey
Zeros of derivatives of Riemann's XI function on the critical line (Montgomery)
David Leep
Common value properties of quadratic forms (Lewis)
William Monach
Numerical investigation of several problems in number theory (Montgomery)
Michael Robinson
Topics in the theory of irrational numbers (Montgomery)
1979 Steve Gonek
Analytic properties of zeta and Lfunctions (Montgomery)
William Miller
Transcendence measures for values of analytic solutions to certain functional equations (Montgomery)
Patrick Morton
The 2classgroup of a quadratic number field and the Pell equation X^2 delta Y^2 = 1 (Lewis)
1977 Andrew Baily
On the density of discriminants of quartic fields (Lewis)
Piotr Blass
Zariski surfaces (Milne/Hochster)
Sidney Graham
Applications of sieve methods (Montgomery)
Gerry Myerson
Equations in finite fields (Lewis/Ullman)
1976 Michal Bester
Local flat duality of abelian varieties (Milne)
John Driggs
Approximations to solutions over henselian rings (Lewis)
Stephen Ricci
Local distribution of primes (Montgomery)
1975 Ralph Toliver
Bounds for solutions of two simultaneous additive equations of odd degree (Lewis)
1973 Fern Ellison
Three diagonal quadraticforms (Lewis)
Henry Thomas, Jr.
A numerical approach to Waring's problem for fourth powers (Lewis)
1972 Maurice Craig
Irregular discriminants (Lewis)
1971 Erik Lippa
Hecke operators for modular forms of genus R (Lewis)
Catherine Stahl
Systems of additive equations over algebraic number fields (Lewis)
1969 Robert Kubota
Waring's problem in F_{Q}[X] (Lewis)
Susan Schuur
Systems of quadratic forms over local fields (Lewis)
1967 Michael Fried
Value sets of polynomials (Lewis)
Charles Ryavec
Problems in diophantine analysis (Lewis)
Gretchen Wagner
Module decompositions of ideals in Dedekind domains (Lewis)
1966 Charles MacCluer
On exceptional polynomials (Lewis)
1965 Underwood Dudley
The distribution modulo 1 of oscillating functions (LeVeque)
Joseph Heisler
Diophantine problems for matrix rings, rings of functions, and other rings (Lewis)
1964 Elizabeth Grobe
Some `p'adic and `g'adic versions of Roth's theorem (LeVeque)
1963 Thomas Walker, Jr.
Two metric theorems in Diophantine approximation (LeVeque)
1962 Klaus Guting
About algebraic and transcendental numbers (LeVeque)
1950 Donald J. Lewis
Cubic homogeneous polynomials over a padic number field (Brauer)
